Minimising stop and go waves to optimise traffic flow

Motivated by the problem of minimising the “stop and go” phenomenon in traffic flow, we consider a nonstandard problem of calculus of variations. Given a system of hyperbolic conservation laws, we introduce an integral functional where the integrating measure depends on the space derivative of the s...

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Bibliographic Details
Published in:Applied mathematics letters 2004-06, Vol.17 (6), p.697-701
Main Authors: Colombo, R.M, Groli, A
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Conservation laws
Exact sciences and technology
Mathematical analysis
Mathematics
Optimal control of PDE
Sciences and techniques of general use
Traffic flow
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Summary:Motivated by the problem of minimising the “stop and go” phenomenon in traffic flow, we consider a nonstandard problem of calculus of variations. Given a system of hyperbolic conservation laws, we introduce an integral functional where the integrating measure depends on the space derivative of the solution to the conservation law. An existence result for initial and, when present, boundary data that minimise this functional is proved.
ISSN:0893-9659
1873-5452
DOI:10.1016/S0893-9659(04)90107-3